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Finding the Third Proportional to 5,115 and 8,473.50

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Solution

The third proportional to 5,115 and 8,473.50 is: 14,037.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,115 : 8,473.50 = 8,473.50 : x
  2. Step 2: Convert to fraction form
    5,115/8,473.50 = 8,473.50/x
  3. Step 3: Cross multiply
    5,115x = 8,473.50 × 8,473.50
  4. Step 4: Simplify right side
    5,115x = 71,800,202.25
  5. Step 5: Solve for x
    x = 71,800,202.25/5,115
  6. Step 6: Final answer
    x = 14,037.19

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.